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Finding the Fourth Proportional to 12,624.93, 17,421.68 and 7,588.22

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Solution

The fourth proportional to 12,624.93, 17,421.68 and 7,588.22 is: 10,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,624.93 : 17,421.68 = 7,588.22 : x
  2. Step 2: Convert to fraction form
    12,624.93/17,421.68 = 7,588.22/x
  3. Step 3: Cross multiply
    12,624.93x = 17,421.68 × 7,588.22
  4. Step 4: Simplify right side
    12,624.93x = 132,199,415.56
  5. Step 5: Solve for x
    x = 132,199,415.56/12,624.93
  6. Step 6: Final answer
    x = 10,471.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.